Write to the equation in logarithmic form 125^4/3 = 625. PLEASEE HELP!

Question

asked Jul 6, 2020 55.7k views

1 Answer

Dammio · Answer 1 · 2020-07-11T20:06:32+0000

Answer:

((4)/(3))=log_(125)(625)

Explanation:

The given equation is:

$125^{(4)/(3)}=625$

Now, taking log to base 125 on both sides, we get

$log_(125)(125^{(4)/(3)})=log_(125)(625)$

((4)/(3))log_(125)(125)=log_(125)(625)

Now, log to the base 125 of 125 is equal to one as log to the base a of a is equal to one, therefore,

((4)/(3))=log_(125)(625)

which is the required logarithmic form.